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Finding the Fourth Proportional to 180.62, 270.60 and 140.02

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Solution

The fourth proportional to 180.62, 270.60 and 140.02 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.62 : 270.60 = 140.02 : x
  2. Step 2: Convert to fraction form
    180.62/270.60 = 140.02/x
  3. Step 3: Cross multiply
    180.62x = 270.60 × 140.02
  4. Step 4: Simplify right side
    180.62x = 37,889.41
  5. Step 5: Solve for x
    x = 37,889.41/180.62
  6. Step 6: Final answer
    x = 209.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.